The course is now over! Thanks, everybody.
On this page, as an historical record, you may find lecture summaries by week, and five problem sets. They’re ordered reverse-chronologically, blog-style.
Since I made a big deal about everyone learning and using LaTeX, everything was posted in .tex, .dvi, and .pdf format. I inserted lots of comments in the source files with tips and explanations.
A quick remark on Nakayama’s Lemma (DVI format).
Documents
- Week 14 Summary
- .tex Δ, .dvi Δ, .pdf Δ
comments on: the `ulem’ package, the `hyperref’ package
- Week 13 Summary
- .tex Δ, .dvi Δ, .pdf Δ
comments on: \tableofcontents and its size, a sneaky trick for labelling diagrams in xypic.
- Week 12 Summary
- .tex Δ, .dvi Δ, .pdf Δ
comments on: none.
- Week 11 Summary
- .tex Δ, .dvi Δ, .pdf Δ
comments on: lots more font stuff (last week for this, I promise).
- Problem Set 5 — due Friday 21 April (updated 12 April with new due date and (more) typos fixed)
- .tex Δ, .dvi Δ, .pdf Δ
comments: none
- Week 10 Summary
- .tex Δ, .dvi Δ, .pdf Δ
comments on: swapnumbers, right-margin equation numbers, more fonts, small caps, \colon (and the nature of good and evil), \substack, and \ref vs. \eqref.
- Week 9 Summary
- .tex Δ, .dvi Δ, .pdf Δ
comments on: various font declarations
- Problem Set 4 — due 29 March
- .tex Δ, .dvi Δ, .pdf Δ
comments: none
- Week 8 Summary
- .tex Δ, .dvi Δ, .pdf Δ
comments on: \setminus, starting enumerate environments on new lines, and \!
- Week 7 Summary
- .tex Δ, .dvi Δ, .pdf Δ
comments on: \thispagestyle{empty} to get rid of page numbers, bibliographic citations, attribution of theorems, and the enumerate package
- Problem Set 3 — due 8 March
- .tex Δ, .dvi Δ, .pdf Δ
comments: none
- Week 6 Summary
- .tex Δ, .dvi Δ, .pdf Δ
comments on: the draft option for the amsart class, some new fonts, stealing ideas from the arXiv, \today, \mathbb, equation references with \eqref, curvy arrows with xypic, and stacking indices under big math operators
- Week 5 Summary
- .tex Δ, .dvi Δ, .pdf Δ
comments on: spacing around footnote numbers, labels and references, the correct way to typesent n^th, extensible arrows, order of sub/superscripts, the multline environment, non-breaking spaces, curly braces, \text{}, and list-item labels.
- Problem Set 2 — due 22 February (updated!)
- .tex Δ, .dvi Δ, .pdf Δ
comments on: more xypic diagrams, spacing with \qquad
- Week 4 Summary
- .tex Δ, .dvi Δ, .pdf Δ
comments on: theorem environments
- Week 3 Summary
- .tex Δ, .dvi Δ, .pdf Δ
comments on: special arrows, really sophisticated commutative diagrams with diagonal arrows (xypic), footnotes, and \cdots
- Problem Set 1 — due 7 February
- .tex Δ, .dvi Δ, .pdf Δ
comments on: more sophisticated commutative diagrams, adjusting margins and linespacing, enumerating things, Greek letters, and bold type
- Week 2 Summary
- .tex Δ, .dvi Δ, .pdf Δ
comments on: changing font size, the amscd package, operator names, commutative diagrams, display style, renewing commands, \to, spacing punctuation in displays, subscripts and superscripts
- Week 1 Summary
- .tex source Δ, .dvi format Δ, and .pdf format Δ
comments deal with: comments, document classes, optional arguments, sections of the document, preamble data, smart quote-marks, emphasis, and \LaTeX
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